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Simplifying -10 = 5(a + -1) + -3a + 1 Reorder the terms: -10 = 5(-1 + a) + -3a + 1 -10 = (-1 * 5 + a * 5) + -3a + 1 -10 = (-5 + 5a) + -3a + 1 Reorder the terms: -10 = -5 + 1 + 5a + -3a Combine like terms: -5 + 1 = -4 -10 = -4 + 5a + -3a Combine like terms: 5a + -3a = 2a -10 = -4 + 2a Solving -10 = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -10 + -2a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + -2a = -4 + 0 -10 + -2a = -4 Add '10' to each side of the equation. -10 + 10 + -2a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -2a = -4 + 10 -2a = -4 + 10 Combine like terms: -4 + 10 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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